We benchmark the recently proposed projection method [M. Sánchez Sánchez et al., Phys. Rev. B 111, 205133 (2025)] for magic-angle twisted bilayer graphene (MATBG) across various symmetry-breaking phases at charge neutrality. The flat-band projected solutions agree well with the full tight binding, with band structures and total energies differing by only a few meV. The projection to the flat bands is justified, owing to the increased gap in the remote bands in the normal state. Moreover, we employ a set of order parameters that allows us to visualize the wave functions locally in real space and quantify the breaking of various symmetries in the correlated phases. These order parameters are suitable for characterizing MATBG and generic honeycomb systems.

Close

PrevNext

View figure in article

• Order parameters
• Valley degrees of freedom
• Topological materials
• Twisted bilayer graphene
• Twisted heterostructures
• Hartree-Fock methods
• Tight-binding model